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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

Respuesta :

zainsubhani

Answer:

[tex]V=14.900598\ L[/tex]

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

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=[tex]\frac{mass}{molar\ mass\ of\ carbon\ dioxide}[/tex]

[tex]n=\frac{27.1}{44}\\n=0.61591 mol[/tex]

T=24+273

T=297 K

P=[tex]766\ mmHg*\frac{1 atm}{760\ mmHg} \\[/tex]

P=1.00789 mmHg

R=0.0821 L atm/mol.K

[tex]V=\frac{nRT}{P}\\ V=\frac{0.61591*0.0821*297}{1.00789} \\V=14.900598\ L[/tex]

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

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