A piece of dry ice (solid CO2) weighing 17.0 g is placed in a 0.500−L bottle filled with air at 0.947 atm and 492.7°C. The bottle is capped, and the dry ice changes to gas. What is the final pressure inside the bottle

The final pressure inside the bottle is 49.527 atm

Explanation:

To calculate the pressure of the gas, we use the equation given by ideal gas equation:

PV = nRT

Or,

where,

P = Pressure of the gas  = ?

V = Volume of the gas  = 0.500 L

w = Weight of carbon dioxide gas  = 17.0 g

M = Molar mass of carbon dioxide gas  = 44 g/mol

R = Gas constant =

T = Temperature of the gas =

Putting values in above equation, we get:

We are given:

Pressure of the bottle = 0.947 atm

SO, total pressure inside the bottle = Pressure exerted by carbon dioxide + Pressure of the bottle = [48.58 + 0.947] = 49.527 atm

Hence, the final pressure inside the bottle is 49.527 atm