SATHEE: Thermodynamics and Thermochemistry 1 Question 8

Thermodynamics and Thermochemistry 1 Question 8

«««< HEAD

8. For silver, $C_{p} (J K^{- 1} {mol}^{- 1}) = 23 + 0.01 T$ . If the temperature $(T)$ of 3 moles of silver is raised from $300 K$ to $1000 K$ at $1 atm$ pressure, the value of $Δ H$ will be close to

======= ####8. For silver, $C_{p} (J K^{- 1} {mol}^{- 1}) = 23 + 0.01 T$ . If the temperature $(T)$ of 3 moles of silver is raised from $300 K$ to $1000 K$ at $1 atm$ pressure, the value of $Δ H$ will be close to

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed (a) $62 kJ$

(b) $16 kJ$

(d) $13 kJ$

(2019 Main, 8 April I)

Show Answer

Solution:

According to Kirchoff’s relation,

$Δ H = n \int_{T_{1}}^{T_{2}} C_{p} d T$

where, $Δ H =$ Change in enthalpy.

$C_{p} =$ Heat capacity at constant pressure.

Thermodynamics and Thermochemistry 113

Given, $n = 3$ moles, $T_{1} = 300 K, T_{2} = 1000 K, C_{p} = 23 + 0.01 T$ On substituting the given values in Eq. (i), we get

$\begin{aligned} Δ H & = 3 \int_{300}^{1000} (23 + 0.01 T) d T = 3 \int_{300}^{1000} 23 d T + 0.01 T d T & = 3 {[23 T + \frac{0.01 T^{2}}{2}]}_{300}^{1000} & = 3 [23 (1000 - 300) + \frac{0.01}{2} (1000^{2} - 300^{2})] & = 3 [16100 + 4550] = 61950 J \approx 62 kJ \end{aligned}$

Thermodynamics and Thermochemistry 1 Question 8

8. For silver, $C_{p} (J K^{- 1} {mol}^{- 1}) = 23 + 0.01 T$ . If the temperature $(T)$ of 3 moles of silver is raised from $300 K$ to $1000 K$ at $1 atm$ pressure, the value of $Δ H$ will be close to

Solution:

Thermodynamics and Thermochemistry 113

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

Thermodynamics and Thermochemistry 1 Question 8

8. For silver, Cp( J K−1 mol−1)=23+0.01 T. If the temperature (T) of 3 moles of silver is raised from 300 K to 1000 K at 1 atm pressure, the value of ΔH will be close to

Solution:

Thermodynamics and Thermochemistry 113

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

Menu

8. For silver, $C_{p} (J K^{- 1} {mol}^{- 1}) = 23 + 0.01 T$ . If the temperature $(T)$ of 3 moles of silver is raised from $300 K$ to $1000 K$ at $1 atm$ pressure, the value of $Δ H$ will be close to