Question

Calculate the gas constant R=8.314 J/K/mol in R= ? cal/K/mol.​

Answer 1

To convert:

Value of Gas Constant from J/K/mol to Cal/K/mol.

Calculation:

1 calorie $\approx$ 4.2 Joules

$\therefore \: R = 8.314 \: J{K}^{ - 1} {mol}^{ - 1}$

$\rm \implies\: R = \dfrac{8.314}{4.2} \: cal \: {K}^{ - 1} {mol}^{ - 1}$

$\rm \implies\: R =1.98\: cal \: {K}^{ - 1} {mol}^{ - 1}$

So, value of Universal Gas Constant is 1.98 Cal/K.mol

Uses of value of R:

• Ideal Gas equation

• Index of work done per mole at unit temperature.

Hope It Helps.