Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas will do negative work. Choose the correct answer from the options given below:

Question

Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas will do negative work. Choose the correct answer from the options given below: (A) C and D only (B) B and D only (C) A and E only (D) C and E only

Tardigrade Admin · Accepted Answer

Sol. dQ = dU + dW ⇒ dU = nC V dT dU =0 (for isothermal) ∴ U = constant Also dQ >0 (supplied) Hence d W>0

C and D only

B and D only

A and E only

C and E only

Sol. dQ=dU+dW ⇒dU=nCV​dT dU=0 (for isothermal) ∴U= constant Also dQ>0 (supplied) Hence dW>0

Sol. $d Q = d U + d W$
$\Rightarrow d U = n C_{V} d T$
$d U = 0$ (for isothermal)
$∴ U =$ constant
Also $d Q > 0$ (supplied)
Hence $d W > 0$