The volume of a sample of oxygen is 200.0 mL when the pressure is 3.000 atm and the temperature is 37.0 oC. What is the new temperature if the volume increases to 400.0 mL and the pressure decreases to 2.000 atm

Respuesta :

Answer:

Explanation:

Given:

V1 = 200 ml

T1 = 20 °C

= 20 + 273

= 293 K

P1 = 3 atm

P2 = 2 atm

V2 = 400 ml

Using ideal gas equation,

P1 × V1/T1 = P2 × V2/T2

T2 = (2 × 400 × 293)/200 × 3

= 234400/600

= 390.67 K

= 390.67 - 273

= 117.67 °C

The new temperature if the volume increases is 117.67 °C.

Given:

V₁ = 200 ml

T₁ = 20 °C= 20 + 273= 293 K

P₁ = 3 atm

P₂ = 2 atm

V₂ = 400 ml

To find:

T₂ =?

Ideal gas law equation:

PV=nRT

P₁ × V₁/T₁ = P₂ × V₂/T₂

T₂ = (2 × 400 × 293)/200 × 3

T₂= 234400/600

T₂= 390.67 K

T₂= 390.67 - 273

T₂ = 117.67 °C

Thus, the new temperature if the volume increases is 117.67 °C.

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