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laws

Question

An ideal gas has a volume of exactly 1 litre at 1.00 atm and $- 20^{0} C$ . To how many atmospheres pressure must it be subjected to be compressed to 0.50 litre when the temperature is $20^{0} C$ ?

Moderate

A

2.31
B

3.21
C

1.32
D

4.12

Solution

$\begin{array}{l} \frac{P_{1} V_{1}}{T_{1}} = \frac{P_{2} V_{2}}{T_{2}} \\ P_{2} = \frac{1.00 \times 1.00 \times 293}{0.50 \times 253} = 2.31 a t m \end{array}$

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