For silver, Cp(JK-1 mol-1) = 23 + 0.01T. 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

Question

For silver, Cp(JK-1 mol-1) = 23 + 0.01T. 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 (A) 21 kJ (B) 16 kJ (C) 13 kJ (D) 62 kJ

Tardigrade Admin · Accepted Answer

Δ H =n ∫ limitsT2T1 Cp,m dT = 3 ×∫1000300 (23+0.01T)dT = 3[23(1000-300)+ (0.01/2) (10002 - 3002)] = 61950 J ≈ 2 kJ

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

21 kJ

16 kJ

13 kJ

62 kJ

$Δ H = n T_{1} \int T_{2} C_{p, m} d T = 3 \times \int_{300}^{1000} (23 + 0.01 T) d T$
$= 3 [23 (1000 - 300) + \frac{0.01}{2} (100 0^{2} - 30 0^{2})]$
$= 61950 J \approx 2 k J$

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