A sample of hydrogen exerts a pressure of 1.50 atmospheres at a temperature of 160 K. What pressure does the gas exert at 640 K?

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Answer 1 · 2017-04-18T12:11:32

The pressure will be $6$ $6$ atmospheres. see explanation.

The volume is not given, so I assume it remains unchanged.

To calculate the new pressure you use the following equality:

$\frac{p \times V}{T} = c o n s t$ $(pxxV)/T=const$

So here we have:

$\frac{p_{1} \times V}{T_{1}} = \frac{p_{2} \times V}{T_{2}}$ $(p_1xxV)/T_1=(p_2xxV)/T_2$

We can divide both sides of the equation by $V$ $V$

$\frac{p_{1}}{T_{1}} = \frac{p_{2}}{T_{2}}$ $p_1/T_1=p_2/T_2$

From this proportion we calculate that:

If we substitute the given values we get:

$p_{2} = = \frac{960}{160} = \frac{96}{16} = \frac{12}{2} = 6$ $p_2==960/160=96/16=12/2=6$

Answer: The new pressure is $6$ $6$ atmospheres