Question

A quantity of neon gas is slowly heated in a cylinder fitted with a movable piston (constant pressure). It is known that 100.0 J of heat is added to the gas and the change in temperature is 4.00 K. How many moles of gas are contained in the cylinder?

Answer 1

By using the molar heat capacity at constant pressure for a monatomic ideal gas and the given heat added and temperature change, we calculate that there are approximately 2.40 moles of neon gas in the cylinder.

Step-by-step explanation:

To determine how many moles of gas are contained in the cylinder, we can use the formula for the heat added at constant pressure:

Q = nCpΔT

where Q is the heat added, n is the number of moles, Cp is the molar heat capacity at constant pressure, and ΔT is the change in temperature. For a monatomic ideal gas like neon, Cp can be calculated using the relation Cp = (5/2)R, where R is the ideal gas constant (8.314 J/mol·K).

Plugging in the values we get:

100.0 J = n × (5/2 × 8.314 J/mol·K) × 4.00 K

Solving for n gives:

n = 100.0 J / ((5/2 × 8.314 J/mol·K) × 4.00 K)

n = 100.0 J / (41.57 J/mol·K)

n = 2.404 mol

Hence, there are approximately 2.40 moles of neon gas contained in the cylinder.

Answer 2

To find the number of moles of gas contained in the cylinder, we can use the equation: n = Q / (C_P * ΔT). In this case, we are given that 100.0 J of heat is added to the gas and the change in temperature is 4.00 K.

Step-by-step explanation:

To find the number of moles of gas contained in the cylinder, we can use the equation:

n = Q / (C_P * ΔT)

where:

• n is the number of moles of gas
• Q is the heat added to the gas
• C_P is the molar heat capacity at constant pressure
• ΔT is the change in temperature

In this case, we are given that 100.0 J of heat is added to the gas and the change in temperature is 4.00 K. We need to determine the molar heat capacity at constant pressure for neon gas to calculate the number of moles. Once we have that value, we can plug it into the equation to find the number of moles of gas contained in the cylinder.