Explanation​:
Using V=W/q​ from the data booklet, we find that the charge q passing through the bulb in 2 seconds equals W/V=1000 J/200 V=5C.

Since I=Δq/Δt​, the current in the bulb is 5C/2 s=2.5 A

I. Incorrect: As the heater heats both the water and the container, the container itself gains energy to increase temperature. Greater specific heat capacity means more energy is required to result in the same temperature change. So, for the glass container less energy is needed to reach 100oC which will take less time.

II. Correct: When there is isolation for the container there is less heat lost to the surroundings, resulting in higher efficiency. So the boiling finishes earlier.

III. Correct: As the amount of water increases more energy is required to result in same temperature change.

Explanation​:

The kinetic model of ideal gases assumes that intermolecular forces (and therefore intermolecular potential energy) are negligible, and that the mean kinetic energy of molecules is directly proportional to gas temperature; hence, Properties I and II stay constant during the expansion. Conversely, Property III changes because gas pressure decreases during the expansion, and pressure scales with the frequency of molecular collisions with the walls of the piston.

Explanation​:
The question gives $T$ in celsius. In kelvin, the temperature would be T+273.

Using the equation PV=nRT, we get number of moles = PV/RT. Since $M$ represents the number of moles, it will substitute into the equation for $n$ and $(T+273)$ will substitute as temperature in the equation giving

M=PV/R(T+273)​ which is answer A

The change of state will occur at the same temperature as the original graph but take less time to complete.

Explanation​:
In an ideal gas system, it is assumed that molecules have negligible size and that there are no intermolecular forces. System A most resembles an ideal gas because it satisfies these criteria.

Whilst Systems B and C both contain molecules of significant size with strong intermolecular forces, System B is most likely to exhibit non-ideal gas characteristics due to the relatively high gas pressure, which corresponds to greater proximity between the molecules: a decreased intermolecular distance yields increased intermolecular forces, as well as enhancing the influence of non-negligible molecular size (the total molecular volume constitutes a greater percentage of the container volume).

Explanation​:

From the circuit symbols in the data booklet, component A is a heating element.

When current flows in the circuit, the heating element will increase in temperature and the resistance will increase. This will increase the total resistance of the circuit and result in a decrease in the current due to the relationship I=V/R​.

Explanation​:
373$K$ is the boiling point of water. Temperature does not change until all water is boiled. B and C show temperature change at $t=0$. D is not compatible with the question. You might have seen graphs that resemble options B and D in this context, they are there to distract you.

Explanation​:

60$J$ per second gives power, P=60W

$A$ therefore the answer is A.

Explanation​:

Ideal gases have no intermolecular forces between the particles, and therefore all of their internal energy consists of kinetic energy. There is no intermolecular potential energy. In both cases, the described changes will not affect the potential energy, as the potential energy is always equal to zero.

Explanation​:
E=mcΔTE=Pt

Pt=mcΔT

ΔT=Pt/mc

Doubling energy transfer rate will double the temperature rise. Halving the mass will also double the temperature rise. The change in temperature will be 4 times larger than the initial case, which is 40oC. This

gives the final temperature as 60oC.

Explanation​:

The energy $E$ required to completely melt each substance is given by

• E=mL

where $m$ is the mass of the substance and $L$ is the specific latent heat of fusion.

Therefore, for a given power $P$, the duration tmelt​ of the plateau obeys the equation

tmelt=mL/P​

The two substances have equal values of $m$ and $P$, meaning that since Substance $A$ has a higher tmelt​ value than Substance $B$, it also possesses a higher $L$ value. Hence, Statement III is incorrect.

The rates of temperature change before and after melting are related to the specific heat capacity $c$ via the expression

• E = mcΔT
• PΔt=mcΔT
• ΔTΔt=Pmc​

The gradient of the graph is therefore inversely proportional to $c$.

In both solid and liquid state, Substance $A$ exhibits a higher value of ΔTΔt​ than Substance $B$, meaning that has a lower value of $c$. Hence, Statement I is correct.

Furthermore, for each substance, the gradient of the graph is lower in the liquid phase than in the solid phase, which means that after melting $c$ increases and Statement II is correct.

Explanation​:
Temperature appears to be doubled; but that is using the celsius scale. Absolute temperature is not doubled. So, $D$ is incorrect.

Volume cannot change, since the container's volume is fixed. The number of moles cannot change since the gas is enclosed in the container.

Hence, pressure is proportional to absolute temperature:

p2/p=[273+542]/[73+27] ⇒p2=1.09p

Explanation​:
Gas pressure is caused by the particles colliding with the walls, applying a force to them. It is related to the rate of particle-wall collisions per unit surface area of the container per unit time.

A is incorrect because with an increased number of particles more particle-wall collisions will occur and that will lead to a greater rate of collision per unit surface area of cylinder per unit time since there will be no change in the speed of the particles.

B is incorrect because actually the additional particles bring in more kinetic energy so the existing kinetic energy is not being distributed over a larger number of particles. Additionally, since the temperature is being kept constant, the average kinetic energy is constant.

C is correct because there are now more particles in the same volume, the rate of collision per unit surface area of the cylinder per unit time will increase.

D is incorrect because there is no change in the average speed of the particles due to the temperature remaining the same. Temperature is related to the average kinetic energy of the particles, and the particle kinetic energy depends on the speed of the particles.

Explanation​:
The average kinetic energy doubles which means that the temperature doubles. To maintain constant pressure, volume would have to double.

Since the number of molecules also doubles, volume would have to double again to maintain constant pressure.

Thus the volume must get 4 times larger from pV=nRT