1.

A diatomic gas does 200 j of work when it expands isobarically. Find the heat given to the gas in the process

Answer»

Solution :

For an diatomic gas

\sf \implies C_v = \frac{5}{2} \\ \\ \sf \implies C_p = \frac{7}{2}

The WORK DONE in an isobaric PROCESS is

\sf \implies W = p(V_2 -V_1) \\ \\\sf \implies W = nRT_2 - nRT_1 \\ \\\sf \implies T_2 - T_1 = \frac{W}{nR}

The HEAT given in an isobaric process is

\sf \implies Q = nC_p(T_2 - T_1) \\ \\\sf \implies Q = nC_p \frac{W}{nR} = \frac{7}{2}W \\ \\\sf \implies Q = \frac{7}{2} \times 200 \\ \\\sf \implies Q = 700\:J


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