Question

A vessel withstands 100 atm. It's filled with hydrogen at 27°C (300 K) to 20 atm. Find temp. at which pressure becomes 100 atm.

• A. \( 500 \, \text{K} \)
• B. \( 1000 \, \text{K} \)
• C. \( 1500 \, \text{K} \)
• D. \( 2000 \, \text{K} \)

Hint:

Use \( \frac{P}{T} = \text{constant} \) when volume and moles remain unchanged in a gas system.

Answer 1

The Correct Option is C

From ideal gas law: \( \frac{P_1}{T_1} = \frac{P_2}{T_2} \)
\[ \frac{20}{300} = \frac{100}{T_2} \Rightarrow T_2 = \frac{100 \cdot 300}{20} = 1500 \, \text{K} \]