Question

If a plastic container of food at 1.0°C and 750. mm Hg is heated in a microwave to 80. °C, what is the new pressure inside the container? mmHg are the units of the answer and you can just enter the number value for the pressure.

Answer 1

Answer:

966.12 mmHg

Explanation:

-We apply Gay-Lussac's Law which holds that the pressure of a given gas is directly proportional to it's temperature(in Kelvins) for a constant volume:

$\frac{P_1}{T_1}=\frac{P_2}{T_2}$

Given that:

$0\textdegree C=273.15K\\\\T_1=1.0\textdegree C=274.15K\\P_1=750.0\ mmHg\\\\T_2=80\textdegree C=353.15K\\\\P_2=?$

#We therefore substitute in the formula above to solve for the final pressure, P2:

$\frac{P_1}{T_1}=\frac{P_2}{T_2}\\\\P_2=T_2\times\frac{P_1}{T_1}\\\\=353.15K\times\frac{750\ mmHg}{274.15K}\\\\=966.12\ mmHg$

Hence,  is the new pressure inside the containe is 966.12 mmHg