Question

On a summer day early in the moming, a balloon is filled with helium when the temperature

Answer 1

Based on the data provided;

• number of moles of helium gas is 1.25 moles
• pressure at peak temperature is 259.3 kPa
• internal pressure is above 256 kPa, therefore, the balloon will burst.
• pressure should be reduced to a value less than 256 kPa by reducing the temperature

What is the ideal has equation?

The ideal gas equation relatesthe pressure, volume, moles and temperature of a gas.

The moles of helium gas is calculated using the Ideal gas equation:

• PV = nRT

n is the number of moles of gas

R is molar gas constant = 8.314 L⋅kPa/Kmol

P is pressure = 239 kPa

T is temperature = 21°C = 294 K

V is volume = 12.8 L

Therefore;

n = PV/RT

n = 239 × 12.8 / 8.314 × 294

n = 1.25 moles

The number of moles of helium gas is 1.25 moles

At peak temperature, T = 46°C = 319 K

Using P1/T1 = P2/T2

P2 = P1T2/T1

P2 = 239 × 319/294

P2 = 259.3 kPa

The pressure at peak temperature is 259.3 kPa

At 42°C, T = 315 K

Using P1/T1 = P2/T2

P2 = P1T2/T1

P2 = 239 × 315/294

P2 = 256.07 kPa

Since the internal pressure is above 256 kPa, the balloon will burst.

The pressure should be reduced to a value less than 256 kPa by reducing the temperature.

Learn more about gas ideal gas equation at: brainly.com/question/12873752