Answer : The value of the gas constant is,
![62.4\text{ mmHg.L/mol.K}](https://img.qammunity.org/2021/formulas/chemistry/high-school/2s7kbhv1k59iptis0g89yaf0jcbaopu2xz.png)
Explanation :
Using ideal gas equation:
PV = nRT
where,
P = pressure of gas = 930 mmHg
V = volume of gas = 20.0 L
n = number of moles of gas = 1 mol
T = temperature of gas =
![25^oC=273+25=298K](https://img.qammunity.org/2021/formulas/chemistry/middle-school/961e5y6g21sw1j17pa3o0v34fk2j1dmszo.png)
R = gas constant = ?
Now put all the given value in the above formula, we get:
![930mmHg* 20.0L=1mol* R* 298K](https://img.qammunity.org/2021/formulas/chemistry/high-school/u6qsqnxc23rtbrh7ysso8qarq7wqbzflsh.png)
![R=62.4\text{ mmHg.L/mol.K}](https://img.qammunity.org/2021/formulas/chemistry/high-school/226uf0f7aa2n3i9u7e9y7t74rsosxorooy.png)
Therefore, the value of the gas constant is,
![62.4\text{ mmHg.L/mol.K}](https://img.qammunity.org/2021/formulas/chemistry/high-school/2s7kbhv1k59iptis0g89yaf0jcbaopu2xz.png)