Entropy Change in Isochoric Process

Q. The entropy change when two moles of ideal monoatomic gas is heated from ${200}^{o}C$ to ${300}^{o}C$ reversibly and isochorically is:

1. $\frac{5}{2}Rln\left(\frac{573}{273}\right)$
2. $\frac{3}{2}Rln\left(\frac{300}{200}\right)$
3. $3Rln\left(\frac{573}{473}\right)$
4. $\frac{3}{2}Rln\left(\frac{573}{473}\right)$
   
   

Q. Which of the following is the correct expression for $\Delta S$ in case of isochoric process?

1. 

2. 

3. 

4. 

Q. The entropy change when two moles of ideal monoatomic gas is heated from 200 to ${300}^{\circ }C$ reversibly and isochorically ?

1. $\frac{3}{2}Rln\left[\frac{300}{200}\right]$
2. $\frac{5}{2}Rln\left[\frac{573}{273}\right]$
3. $3Rln\left[\frac{573}{473}\right]$
4. $\frac{3}{2}Rln\left[\frac{573}{473}\right]$

Q. The entropy change when two moles of ideal monoatomic gas is heated from ${200}^{o}C$ to ${300}^{o}C$ reversibly and isochorically is:

1. $\frac{3}{2}Rln\left(\frac{300}{200}\right)$
2. $\frac{5}{2}Rln\left(\frac{573}{273}\right)$
3. $3Rln\left(\frac{573}{473}\right)$
4. $\frac{3}{2}Rln\left(\frac{573}{473}\right)$
   
   

Q. $C_P-C_V$ for an ideal gas is equal to R. If true enter 1 else 0

Q. The entropy change when two moles of ideal monoatomic gas is heated from ${200}^{\circ }C$ to ${300}^{\circ }C$ reversibly and isochorically?

1. $\frac{3}{2}R\ln \left(\frac{300}{200}\right)$
2. $\frac{5}{2}R\ln \left(\frac{573}{273}\right)$
3. $3R\ln \left(\frac{573}{473}\right)$
4. $\frac{3}{2}R\ln \left(\frac{573}{473}\right)$

Q. The entropy change when two moles of ideal monoatomic gas is heated from ${200}^{\circ }C$ to ${300}^{\circ }C$ reversibly and isochorically?

1. $\frac{3}{2}R\ln \left(\frac{300}{200}\right)$
2. $\frac{5}{2}R\ln \left(\frac{573}{273}\right)$
3. $3R\ln \left(\frac{573}{473}\right)$
4. $\frac{3}{2}R\ln \left(\frac{573}{473}\right)$

Q. Which of the following is the correct expression for $\Delta S$ in case of isochoric process?

1. $\Delta S=n{C}_{p}ln\frac{T_2}{T_1}$

2. $\Delta S=n{C}_{p}ln\frac{T_1}{T_2}$

3. $\Delta S=n{C}_{v}ln\frac{T_2}{T_1}$

4. $\Delta S=n{C}_{v}ln\frac{T_1}{T_2}$

Q. The entropy change when two moles of ideal monoatomic gas is heated from ${200}^{o}C$ to ${300}^{o}C$ reversibly and isochorically is:

1. $\frac{3}{2}Rln\left(\frac{300}{200}\right)$
2. $\frac{5}{2}Rln\left(\frac{573}{273}\right)$
3. $3Rln\left(\frac{573}{473}\right)$
4. $\frac{3}{2}Rln\left(\frac{573}{473}\right)$
   
   

Q. Calculate the total entropy change for the transition at $368$ K of $1$ mol of sulphur from the monoclinic to the rhombic solid state, is aH$=-401.7$ J $mo{l}^1$ for the transition. Assume the surroundings to be an ice-water both at $O^{o}C$.

1. $-1.09J{K}^{-1}$
2. $-0.5J{K}^{-1}$
3. None of these
4. $-0.385J{K}^{-1}$

Q. The entropy change when two moles of an ideal monoatomic gas is heated from ${200}^{\circ }\text{C}\text{to}{300}^{\circ }\text{C}$ reversibly and isochorically?

1. $3R\ln \left(\frac{573}{473}\right)$
2. $\frac{3}{2}R\ln \left(\frac{573}{473}\right)$
3. $\frac{3}{2}R\ln \left(\frac{300}{200}\right)$
4. $\frac{5}{2}R\ln \left(\frac{573}{273}\right)$

Q. Which of the following is the correct expression for $\Delta S$ in case of isochoric process?

1. $\Delta S=n{C}_{p}ln\frac{T_2}{T_1}$

2. $\Delta S=n{C}_{p}ln\frac{T_1}{T_2}$

3. $\Delta S=n{C}_{v}ln\frac{T_2}{T_1}$

4. $\Delta S=n{C}_{v}ln\frac{T_1}{T_2}$