Internal Energy

Q. During the compression of a spring the work done is $10kJ$ and $2kJ$ escaped to the surroundings as heat. The change in internal energy, $\Delta U$ (in kJ) is (Magnitude):

Q. Internal energy is an example of

1. None of these
2. Path function
3. State function
4. Both (a) and (b)

Q. Internal energy of an ideal gas depends on

1. Volume
2. Temperature
3. Pressure
4. None of these

Q. The Internal Energy Change ($\Delta U$) of a Process does not depends upon

1. Temperature

2. Amount of substance undergoing the change.

3. Path of the process.

4. Nature of substance undergoing the change.

Q. Internal energy of a system increases, when the system

1. expands
2. absorbs heat
3. does work
4. loses heat

Q. A gas is allowed to expand in a well insulated container against a constant external pressure of 2.5 $atm$ from an initial volume of 2.50 $L$ to a final volume of 4.50 $L$. The change in internal energy $\Delta U$ of the gas in joules will be:

1. $-500J$
2. $-505J$
3. $1136.25J$
4. $+505J$

Q. Which of the following is incorrect regarding the internal energy of the system?

1. It increases with increase in temperature
2. It is a state function
3. It can be calculated by experiment
4. It remains unaffected with change in temperature

Q. The value of $\Delta H-\Delta U$ for the following reaction at ${37}^o$ C will be
$2N{H}_3\left(g\right)\to N_2\left(g\right)+3H_2\left(g\right)$

1. $51.54{\text{J mol}}^{-1}$
2. $-51.54{\text{J mol}}^{-1}$
3. $51.54{\text{kJ mol}}^{-1}$
4. $5.154{\text{kJ mol}}^{-1}$

Q. The internal energy of an ideal gas:

1. increases with increase in temperature
2. remains unaffected with temperature
3. decreases with increase in temperature
4. can be calculated by the reaction, $E=m{c}^2$

Q. A gas sample is cooled and loses 65 J of heat. The gas contracts as it cools and work done on the system equal to 20 J. What are q, w and $△U$ ?

1. $q=-65J,w=20J,△U=-45J$
2. $q=-70J,w=10J,△U=35J$
3. $q=65J,w=10J,△U=-35J$
4. $q=65J,w=20J,△U=45J$