Is a gas at 0.69 atm pressure and 25 L volume, at -10 degrees Celsius and 1 mole the gas, an ideal gas, why or why not (Ideal gas constant is 0.0820574)

To determine if a gas can be considered an ideal gas, we can use the ideal gas law equation:

PV = nRT

Where:
P is the pressure of the gas in atm
V is the volume of the gas in L
n is the number of moles of gas
R is the ideal gas constant
T is the temperature of the gas in Kelvin

First, we need to convert the given temperature from degrees Celsius to Kelvin:

T(K) = T(C) + 273.15
T(K) = -10 + 273.15
T(K) = 263.15 K

Now, let's substitute the given values into the ideal gas law equation:

(0.69 atm)(25 L) = (1 mole)(0.0820574 L·atm/mol·K)(263.15 K)

Now we can solve this equation to check if it holds true.