Question

The number density N/V of gas molecules at a certain location in the space above our planet is about 1.00×10¹¹ m−³, and the pressure is 2.75×10−¹⁰ N/m² in this space. What is the temperature there?

a) 150 K
b) 300 K
c) 450 K
d) 600 K

Answer 1

The temperature in the space above our planet can be calculated using the ideal gas law. The calculation gives us a temperature of 300 K.

Step-by-step explanation:

The temperature in the space above our planet can be calculated using the ideal gas law, which states that pressure is directly proportional to temperature. The formula is PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature.

In this case, we are given the number density of gas molecules and the pressure. The number density can be used to calculate the number of molecules in a given volume. Once we have the number of moles, we can rearrange the ideal gas law to solve for temperature.

The calculation gives us a temperature of 300 K.

Therefore, the correct answer is 300 K (b).