Question

2 moles of air when heated though 10 k expand by 1.66 x 10 power -3 under a constant pressure 10 power 5 newton per meter square. if cv = 20.81 jmole k then cp is

Answer 1

Answer on Question #64477, Physics / Molecular Physics | Thermodynamics

2 moles of air when heated through $10\mathrm{k}$ expand by $1.66 \times 10$ power -3 under a constant pressure 10 power 5 newton per meter square. if cv = 20.81 jmole k then cp is

Find: $c_{p} - ?$

Given:

$c_{v} = 20.81 \, \text{J/mol} \times \text{K}$

$R = 8.31 \, \text{J/mol} \times \text{K}$

Solution:

Air is an ideal gas.

Mayer's formula:

$$c_{p} - c_{V} = R \cdot (1)$$

where R is gas constant

Of (1) $\Rightarrow c_{p} = c_{V} + R \cdot (2)$

Of (2) $\Rightarrow c_{p} = 29.12 \, \text{J/mol} \times \text{K}$

Answer:

$c_{p} = 29.12 \, \text{J/mol} \times \text{K}$