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A gas in a balloon at constant pressure has a volume of 185 mL at -125*C. What is its volume at 31.0*C? Show all work including what equation or gas law you use.

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User BrOSs
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1 Answer

7 votes

Answer:

V = 379.80 mL

Step-by-step explanation:

According to Charles' Law, "At constant pressure the volume of given amount of gas is directly proportional to the absolute temperature". Mathematically it is given as,

V₁ / T₁ = V₂ / T₂ ----- (1)

Data Given:

V₁ = 185 mL

T₁ = -125 °C = 148.15 K ∴ K = °C + 273.15

V₂ = ?

T₂ = 31.0 °C = 304.15 K

Solving eq. 1 for V₂,

V₂ = V₁ × T₂ / T₁

Putting values,

V₂ = 185 mL × 304.15 K / 148.15 K

V = 379.80 mL

Hence, with increase in temperature the volume has also increased.

User Daniel Love Jr
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