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andrew-mc [135]
3 years ago
14

Carbon dioxide, when it is at -145 degreesC has a density of 2.54 g/L. What is the pressure in torr??

Chemistry
1 answer:
Black_prince [1.1K]3 years ago
5 0

Answer: The pressure in torr is 461 torr

Explanation:

To calculate the relation of density and molar mass of a compound, we use the ideal gas equation:

PV=nRT

P = pressure

V = Volume

n = number of moles

R = gas constant = 0.0821 Latm/Kmol

T = temperature =-145^0C=(273-145)K=128K

Number of moles (n) can be written as:

n=\frac{m}{M}

where, m = given mass

M = molar mass  = 44 g/mol

PV=\frac{m}{M}RT\\\\PM=\frac{m}{V}RT

where,

\frac{m}{V}=d

where d = density = 2.54 g/L

The relation becomes:

PM=dRT  

P=\frac{dRT}{M}

P=\frac{2.54\times 0.0821\times 128}{44}=0.607atm

P=461torr    (760torr=1atm)

Thus the pressure in torr is 461 torr

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