A gas Syringe contains 42.3 milliliters of a gas at 98.15°C. Determine the volume that the gas will occupy if the temperature is decreased to -18.50°C.
V₁ = 42.3 mL
T₁ ( K ) = 98.15ºC + 273 = 371.15 K
V₂ = ?
T₂ ( K) = -18.50ºC + 273 = 254.5 K
V₁ / T₁ = V₂ / T₂
42.3 / 371.15 = V₂ / 254.5
371.15 x V₂ = 42.3 x 254.5
371.15 x V₂ = 10765.35
V₂ = 10765.35 / 371.15
V₂ = 29.00 mL
hope this helps!
The volume that the gas will occupy is "29.00 mL".
According to the question,
Volume,
Temperature,
\(= 371.15 \ K\)
\(= 254.5 \ K\)
As we know the relation,
→ \(\frac{V_1}{T_1} = \frac{V_2}{T_2}\)
or,
→ \(V_2 = \frac{V_1\times T_2}{T_1}\)
By substituting the values, we get
→ \(= \frac{41.3\times 254.5}{371.15}\)
→ \(= \frac{10765.35}{371.15}\)
→ \(= 29.00 \ mL\)
Thus the above answer is right.
Learn more:
https://brainly.com/question/22590663