Question

When 1 mole of a gas is heated at constant 1 volume, temperature is raised from 298 K to 308 K. Heat supplied to the gas is 500 J. Then, which statement is correct?

• A. $q=-W=500J;\Delta E=0$
• B. $q=W=500J;\Delta E=0$
• C. $q=\Delta E=500J;W=0$
• D. $\Delta E=0;q=W=-500J$

Answer 1

The correct option is C $q=\Delta E=500J;W=0$

$\Delta H=\Delta E+P\Delta V$

When $\Delta V=0;w=0.$

As $\Delta E=q+w,\Delta E=q$

In the present problem, $\Delta H=500J,$

$\Delta H=\Delta E=500J,q=500J,w=0$

Hence, option C is correct.