# 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?

Apr 18, 2017

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

#### Explanation:

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

To calculate the new pressure you use the following equality:

## $\frac{p \times V}{T} = c o n s t$

So here we have:

$\frac{{p}_{1} \times V}{T} _ 1 = \frac{{p}_{2} \times V}{T} _ 2$

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

${p}_{1} / {T}_{1} = {p}_{2} / {T}_{2}$

From this proportion we calculate that:

## ${p}_{2} = \frac{{p}_{1} \times {T}_{2}}{T} _ 1$

If we substitute the given values we get:

## ${p}_{2} = \frac{1.5 \times 640}{160}$

${p}_{2} = = \frac{960}{160} = \frac{96}{16} = \frac{12}{2} = 6$

Answer: The new pressure is $6$ atmospheres