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?

1 Answer
Apr 18, 2017

Answer:

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:

#(pxxV)/T=const#

So here we have:

#(p_1xxV)/T_1=(p_2xxV)/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=(p_1xxT_2)/T_1#

If we substitute the given values we get:

#p_2=(1.5xx640)/160#

#p_2==960/160=96/16=12/2=6#

Answer: The new pressure is #6# atmospheres