A sample of carbon monoxide has a volume of 150mL at 10 degree Celsius and 0.75atm. What pressure will be exerted by the gas if the temperature is increased to 522 degree Celsius and the volume changed to 500.mL. PLEASE SHOW STEPS

Respuesta :

P1 = 0.75atm. P2 = ?
V1 = 150ml V2 = 500ml
T1 = 10°C T2 = 522°C
= 10+273 = 522+273
= 283K = 795K

By Gas Equation,
P1V1/T1 = P2V2/T2
0.75×150/283 = P2×500/795
P2 = 0.75×150×795/(283×500)
P2 = 0.63atm.

0.63atm will be exerted by the gas if the temperature is increased to 522 degrees Celsius and the volume changes to 500mL.

What is gas law?

An equal volume of all gases under the same conditions of temperature and pressure contains an equal number of molecules.

Given data:

[tex]P_1[/tex] = 0.75atm.

[tex]P_2[/tex] =?

[tex]V_1[/tex] = 150ml

[tex]V_2[/tex] = 500ml

[tex]T_1[/tex]= 10°C =10+273 = 283K

[tex]T_2[/tex]= 522°C

522+273 = 795K

Solution:

By Gas Equation,

[tex]\frac{P_1V_1}{T_1}[/tex]= [tex]\frac{P_2V_2}{T_2}[/tex]

Putting all the values in the given equation:

[tex]\frac{0.75 X 150}{283} =\frac{ P2 X 500}{795}[/tex]

[tex]P_2[/tex] = 0.63atm.

Hence, 0.63atm will be exerted by the gas if the temperature is increased to 522 degrees Celsius and the volume changes to 500mL.

Learn more about gas law here:

https://brainly.com/question/12667831

#SPJ2