Question

A piece of dry ice (solid carbon dioxide) with a mass of 27.1 g is allowed to sublime (convert from solid to gas) into a large balloon. Assuming that all of the carbon dioxide ends up in the balloon, what will be the volume of the balloon at a temperature of 24 oC and a pressure of 766 mmHg

Answer 1

`V=14.900598\ L`

Volume of the balloon at a temperature of 24 C is 14.00598 L

Step-by-step explanation:

The formula we are going to use is:

PV=nRT

Where;

P is the pressure

V is the volume

n is the number of moles

R is the gas constant

T is the temperature

Calculating n:

n=
`(mass)/(molar\ mass\ of\ carbon\ dioxide)`

`n=(27.1)/(44)\\n=0.61591 mol`

T=24+273

T=297 K

P=
`766\ mmHg*(1 atm)/(760\ mmHg) \\`

P=1.00789 mmHg

R=0.0821 L atm/mol.K

`V=(nRT)/(P)\\ V=(0.61591*0.0821*297)/(1.00789) \\V=14.900598\ L`

Volume of the balloon at a temperature of 24 C is 14.00598 L