I know these questions have the answers attached I need help understanding the c

Question

I know these questions have the answers attached I need help understanding the concepts within the process thank you for your time,

A bicycle tire is inflated to a pressure of 3.74 atm at 15°C. If the tire is heated to 35°C, what is the pressure in the tire? Assume the tire volume does not change. (Answer: 4.0 atm)

Calculate the mass of 1.4 L of SO2 at STP. (Answer: 4.0 g)

A sample of CO2 gas occupies a volume of 575 mL at 752 torr and 72.0 °F. What is the mass of CO2 in the sample? (Answer: 1.03 g)

What is the density of HCl gas at STP? (Answer: 1.63 g/L) A gas has density of 2.39 g/L. at 23.0°C and 715 mm Hg. What is the molar mass of the gas? (Answer: 61.78 g/mol)

Explanation / Answer

Q1.

Apply ideal gas law ratios

P1/T1 = P2/T2

3.74/ (15+273) = P2 / (35+273)

P2 = 3.74/ (15+273) *(35+273)

P2 = 3.9997 = 4 atm

Q2

mass of SO2 at STP

at STP, 1 mol of any gas = 22.4L

mol of SO2 = 1.4/22.4 = 0.0625 mol of SO2

mass of SO2 = mol*MW = 0.0625*64.0638 = 4.00 g of SO2

Q3

apply

PV = nRT

n = PV/(RT)

T = 72F = 22.2°C = 22.2+273 = 295

n = (752)(0.575)/(62.4*295)  

n = 0.02348 mol of CO2

mass = mol*MW = 0.02348*44 = 1.03312 g

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