Answer: The approximate pressure of the gas after it is heated to 278 K is 0.468 atm.
Explanation:
Given: [tex]T_{1}[/tex] = 178 K, [tex]P_{1}[/tex] = 0.3 atm
[tex]T_{2}[/tex] = 278 K, [tex]P_{2}[/tex] = ?
According to Gay Lussac law, at constant volume the pressure of a gas is directly proportional to the temperature.
Formula used to calculate the pressure is as follows.
[tex]\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}\\[/tex]
Substitute the values into above formula is as follows.
[tex]\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}\\\frac{0.3 atm}{178 K} = \frac{P_{2}}{278 K}\\P_{2} = 0.468 atm[/tex]
Thus, we can conclude that the approximate pressure of the gas after it is heated to 278 K is 0.468 atm.
