A birthday balloon is filled to a volume of 1.5L of helium gas in an
air-conditioned room at 293K. The balloon is taken outdoors on a
warm day where the volume expands to 1.55L. Assuming the
pressure and the amount of gas remain constant, what is the air
temperature outside in Celsius?
Answers
Answer:
20.66667℃ or 20.67℃
Explanation:
Given:
V1 = 1.5 L
V2 = 1.55 L
T1 = 293 K
T2 = ?
Convert Kelvin to Celcius:
℃ = K – 273
= 293 – 273
℃ = 20℃
T1 = 20℃
Solve:
V1T2 = V2T1
T2 = V2T1/V1
= [(1.55 L)(20℃)] / 1.5 L
T2 = 20.66667℃ or 20.67℃
Hope it helps y'all
Given:
The volume of helium in the birthday balloon is 1.5l
The room is air-conditioned at 293K
The volume expands to 1.55l in heat
Assuming that the amount of gas remains constant to the pressure.
To Find:
The temperature of the air outside in Celsius
Solution:
Let the volume of helium in the air-conditioned room be V1 and the volume outside be V2.
Let the temperature of the air-conditioned room be T1 and the temperature outside be T2.
Firstly, we convert Kelvin into Celsius
°C = K - 273
= 293 - 273
= 20°C
∴ T1 = 20°C
Now,
V1T2 = V2T1
T2 = V2T1/V1
We substitute the values,
= [(1.55l)(20°C)]/1.5l
= 20.66667°C
= 20.67°C
Therefore, the T2 i.e., the temperature outside in Celsius is 20.67°C