krystalScott17
15.02.2020 •
Physics
Before heating a hot air balloon, the air temperature is 20C, and the density of air is 1 kg/m3. To launch the balloon, the burner is lit, and the air temperature inside the balloon is raised to 30C. What is the air density in the balloon now?
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Ответ:
Explanation:
density and temperature have an inverse relationship between them. initial density = 1 kg/m3initial temperature = 20C = 293kfinal temperature = 30C = 303kfinal density = ?ρT = K
ρ1T1 = ρ2T2
ρ2 = ρ1T1/T2
= 1 X 293 /303
= air density in the balloon now = 0.967kg/m3
Ответ:
p_2 = 0.967 kg/m^3
Explanation:
Given:
- Initial Temperature T_1 = 20 C
- Final Temperature T_2 = 30 C
- Initial Density of air p_1 = 1 kg/m^3
Find:
The Density of air after heating.
Solution:
- The air can be idealized and expressed using Ideal Gas Law as follows:
P = p*R*T
Where,
P = Absolute pressure
R = Gas constant for air
T = Absolute Temperature
- We know that the pressure P of the air remains constant at 1 atm.
P_1 / R = P_2/R
p_1*T_1 = p_2*T_2
p_2 = p_1 * (T_1 / T_2)
Plug in the values:
p_2 = 1 * (20+273 / 30+273)
p_2 = 0.967 kg/m^3
Ответ:
A. younger
Explanation: