A gas occupies 2.0 L at 300 K and 1 atm — JEE Chemistry
A gas occupies 2.0 L at 300 K and 1 atm. It is compressed to 0.5 L at 400 K. Find the new pressure.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 23d ago
▲ 36
Using combined gas law:
$$\frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2}$$
$$P_2 = P_1 \times \frac{V_1}{V_2} \times \frac{T_2}{T_1} = 1 \times \frac{2.0}{0.5} \times \frac{400}{300} = 4 \times \frac{4}{3}$$
$$P_2 = \frac{16}{3} \approx 5.33 atm$$
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Discussion (4)
MP
This is exactly the kind of step-by-step I needed. Respect.
MT
Quick doubt: would this method still work if the numbers were not so clean?
E
Brilliant explanation, the substitution step is what I kept missing.
GP
Plotting it roughly also helps you sanity-check the sign.