Question

A weather balloon contains 1.10X10 to the power of 5 mol of helium and has a volume of 2.70x10 to the power of 6 L at 1.00 atm pressure. Calculate the temperature of the helium

Answer 1

Answer:

299.14 K or 26°C

Explanation:

The ideal gas law, also called the general gas equation, is the equation of state of a hypothetical ideal gas.

The ideal gas law is often written as

PV = nRT

where P ,V and T are the pressure, volume and absolute temperature;

n is the number of moles of gas and  R is the ideal gas constant.

n=1.10 x 10^5 mol  

V= 2.70 x 10^6 L  

P= 1.00 atm= 101.325 kPa  

R= 8.314 kPa*L/ mol*K

when the formula is  rearranged, T=PV/ nR  

T = (101.325kPa * 2.70 x 10^6 L)/ (1.10 x 10^5 mol * 8.314 kPa*L/ mol*K)  

T = 299.1421917 K

or

T = 299.14 - 273.15 = 25.99 =  26°C