The volume of a gas is 76cm3 at 27c and 800mm mercury pressure.what is the volume at s.t.p

(P1V1/T1) = (P2V2/T2)

v2:212.8cm3

To calculate the volume of a gas at standard temperature and pressure (STP), you can use the combined gas law equation:

(P1 * V1) / (T1) = (P2 * V2) / (T2)

Where:
P1 = pressure of the gas at condition 1
V1 = volume of the gas at condition 1
T1 = temperature of the gas at condition 1
P2 = pressure of the gas at condition 2 (STP)
V2 = volume of the gas at condition 2 (STP)
T2 = temperature of the gas at condition 2 (STP)

Let's solve the problem using this equation:

Given:
P1 = 800 mm Hg (pressure at condition 1)
V1 = 76 cm^3 (volume at condition 1)
T1 = 27°C (temperature at condition 1)
P2 = 1 atm (standard pressure at condition 2 - STP)
T2 = 0°C (standard temperature at condition 2 - STP)

First, we need to convert the values to the appropriate units:
800 mm Hg = 800/760 atm (since 1 atm = 760 mm Hg)
76 cm^3 = 76/1000 L (since 1 L = 1000 cm^3)
27°C = 27 + 273.15 K (since temperature must be in Kelvin)

Substituting the values into the equation:

(800/760) * (76/1000) / (27 + 273.15) = 1 * V2 / (0 + 273.15)

Now, solve for V2 (volume at condition 2 - STP):

V2 = [(800/760) * (76/1000) / (27 + 273.15)] * (0 + 273.15)

Calculating this expression will give you the volume of the gas at STP.