Two blocks of the same metal having same mass | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) When two blocks of the same mass and same heat capacity $C_p$ at temperatures $T_1$ and $T_2$ are brought into contact,the final equilibrium tempe

Vedclass · Accepted Answer

$2C_p \ln \left[ \frac{T_1 + T_2}{2\sqrt{T_1T_2}} \right]$

Vedclass · Answer

(A) When two blocks of the same mass and same heat capacity $C_p$ at temperatures $T_1$ and $T_2$ are brought into contact,the final equilibrium temperature $T_f$ is given by $T_f = \frac{T_1 + T_2}{2}$.The change in entropy for the first block is $\Delta S_1 = C_p \ln \left( \frac{T_f}{T_1} \right) = C_p \ln \left( \frac{T_1 + T_2}{2T_1} \right)$.The change in entropy for the second block is $\Delta S_2 = C_p \ln \left( \frac{T_f}{T_2} \right) = C_p \ln \left( \frac{T_1 + T_2}{2T_2} \right)$.The total entropy change is $\Delta S_{total} = \Delta S_1 + \Delta S_2 = C_p \ln \left( \frac{(T_1 + T_2)^2}{4T_1T_2} \right) = 2C_p \ln \left( \frac{T_1 + T_2}{2\sqrt{T_1T_2}} \right)$.

Two blocks of the same metal having same mass and at temperatures $T_1$ and $T_2$ respectively,are brought in contact with each other and allowed to attain thermal equilibrium at constant pressure. The change in entropy,$\Delta S,$ for this process is

Similar Questions

What is the unit of entropy?

$9.0 \, g$ of $H_2O$ is vaporized at $100 \, ^\circ C$ and $1 \, atm$ pressure. If the latent heat of vaporization of water is $x \, J / g$,then $\Delta S$ is given by :-

The enthalpy of fusion of water is $1.435 \ kcal/mol$. The molar entropy change for the melting of ice at $0 \ ^\circ C$ is

Entropy is a measure of .......

Calculate the entropy change in the surroundings when $1.00 \ mol$ of $H_2O_{(l)}$ is formed under standard conditions. Given: $\Delta_f H^{\theta} = -286 \ kJ \ mol^{-1}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module