If the equation, c2h5oh (l) + 3o2 (g) imported asset 2co2 (g) + 3h2) (l), were performed in a laboratory at room temperature, both of the gas volumes: a)would depend on the surrounding temperature and pressure conditions b)must always be equal because the molar ratios are the same c)must always be equal because the number of representative particles is the same in the equation d)could be calculated without regard to the temperature and pressure surrounding them

Hello!

In the reaction, both of the gas volumes would depend on the temperature and pressure conditions.

The volume of gases will always depend on temperature and pressure. Although the number of moles and particles doesn't change, the volume that the gas occupies does. There is an equation that helps us calculate the volume of gas in an easy way. It's called the Ideal Gas Law. The equation is the following one:



Where: 
P=pressure
V=volume
n=number of moles
R=Ideal Gas Constant
T=Temperature

This equation demonstrates that the volume of a gas will increase as the temperature increases and decrease as the pressure increases. 

Have a nice day!