Question

At T (K), an ideal gas (Z) present in V L flask exerted a pressure of 16.4 atm. Its concentration is 1 mol L$^{-1}$. What is the value of T in K?

• A. 100
• B. 400
• C. 300
• D. 200

Hint:

Use the ideal gas law \( PV = nRT \) where R = 0.0821 L·atm/mol·K when pressure is in atm and volume in L.

Answer 1

The Correct Option is D

We use the ideal gas equation \( PV = nRT \). Given: \[ P = 16.4 \text{ atm}, \quad V = 1 \text{ L (from concentration 1 mol/L)}, \quad n = 1 \text{ mol} \] \[ T = \frac{PV}{nR} = \frac{16.4 \times 1}{1 \times 0.0821} \approx 200 \text{ K} \]