if i have 17 liters of gas at a temperature of 67 c and a pressure of 88.89 atm what will be the pressure of the gas if i raise the temperature to 94 c and decrease the volume to 12 liters

Respuesta :

Answer:

135.9 atm

Step-by-step explanation:

Same question on my chemistry hw

The pressure of the gas is 140 atm up to two significant figure

We have given that,

[tex]P1 = 88.89 atm[/tex]

[tex]V1 = 17L[/tex]

[tex]V2 = 12 L[/tex]

We have to find,[tex]P2 = ?[/tex]

What is the application of idea gas low?

The application of the ideal gas law in the form of,

[tex](P1V1)/T1 = (P2V2)/T2[/tex]

We have to find  P2

Therefore, rearrange the equation to the form of

[tex]\frac{(P_1V_1T_2)}{(T_1V_2)} = P_2[/tex].......(1)

we have to convert  your temperatures from Celsius to K by adding 273 to each.

So we get,

[tex]T1 = 67 +273 = 340 K[/tex]

[tex]T2 = 94 + 273 = 367[/tex]

[tex]P2 = ?[/tex]

By using equation (1) we get,

[tex]P_2=\frac{(88.89*17*367)}{(340*12)} \\\\p_2=\frac{623213.71}{4080}\\p_2=139.26\\p_2=140 up to two significant figure.[/tex]

Therefore,the pressure of the gas is 140 atm up to two significant figure

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