Question

Deduce values of gas constant 'R' in different units in J, in Cal and In lit atm L^-1 mole^-1.​

Answer 1

Answer:

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Answer 2

From Ideal Gas Equation, we have:

$R = \frac{PV}{nT}$

For Calculating Gas constant, we can use one of the experimental data, i.e., when,

• P = 1 atm = 101.325 Pa
• T = 0°C = 273.15 K
• n = 1 mol
• V = 22.414 L = 22414 mL

$R = \frac{1 \times 22.414}{1 \times 273.15} \: \small{atm \:L \: {mol}^{ - 1} {K}^{ - 1} }$

$R \approx0.082057 \: \small{atm \: L \: {mol}^{ - 1} {K}^{ - 1} }$

___________________

$R = \frac{101.325 \times 22.414}{1 \times 273.15} \: \small{ J\: {mol}^{ - 1} \: K {}^{ - 1} }$

$R \approx \: 8.3144 \: J \: {mol}^{ - 1} \: {K}^{ - 1}$

___________________

As, 4.184 J = 1 Cal

$R = \frac{8.3144}{4.184} \: \small{ cal \: {mol}^{ - 1} {K}^{ - 1} }$

$R \approx1.9872 \: \small{ cal \: {mol}^{ - 1} {K}^{ - 1} }$