Advertisements
Advertisements
Question
Calculate the number of moles of air is in the inflated balloon at room temperature as shown in the figure.
The radius of the balloon is 10 cm, and the pressure inside the balloon is 180 kPa.
Advertisements
Solution
P = 180 kPa = 180 × 103Pa
V = `4/3 π"r"^3`
r = 10 cm
R = 8.314 J mol−1k−1
T = 27°C = 300 K
From ideal gas equation of state
PV = μRT
μ = `"PV"/"RT"`
= `(180 xx 10^3 xx 4/3 xx 3.14 xx (10 xx 10^-2)^3)/(8.314 xx 300)`
= `(0.7536 xx 10^3)/2494.2`
= 3.021 × 10−4 × 103
μ ≅ 0.3 mol
APPEARS IN
RELATED QUESTIONS
Choose the correct option.
If two temperatures differ by 25° C on Celsius scale, the difference in temperature on Fahrenheit scale is
Choose the correct option.
Water falls from a hight of 200 m. What is the difference in temperature between the water at the top and bottom of a waterfall given that the specific heat of water is 4200 J kg-1 °C-1?
Give the expression for linear thermal expansion.
Give the expression for volume thermal expansion.
Write the unit of thermal conductivity.
Discuss the ideal gas laws.
Discuss various modes of heat transfer.
What does the temperature of a body tell us?
Which of the following is the fourth fundamental quantity introduced while studying heat?
Which three fundamental quantities were used to describe mechanical systems before studying heat?
