Question

1.

At constant pressure. 50 milliliters (mL) of a gas
at 20°C is heated to 30° C. The new volume of
the gas in milliliters (ml) is equal

Answer 1

`\boxed {\boxed {\sf V_2=75 \ mL}}`

Step-by-step explanation:

Since the pressure is constant, the only variables we need to work with are temperature and volume. We will use Charles's Law, which states the volume of a gas is directly proportional to the temperature. The formula is:

`(V_1)/(T_1)=(V_2)/(T_2)`

Originally, the gas was 50 milliliters at 20 degrees celsius. Substitute these values into the left side of the equation.

`(50 \ mL)/(20 \textdegree C)=( V_2)/(T_2)`

We don't know the volume of the new gas, but we know the temperature was changed to 30 degrees celsius.

`(50 \ mL)/(20 \textdegree C)=( V_2)/(30 \textdegree C)`

Since we are solving for the new volume, we must isolate the variable. It is being divided by 30 °Cand the inverse of division is muliplication. Multiply both sides by 30 °C.

`30 \textdegree C*(50 \ mL)/(20 \textdegree C)=( V_2)/(30 \textdegree C)* 30 \textdegree C`

`30 \textdegree C*(50 \ mL)/(20 \textdegree C)= V_2`

The units of degrees celsius cancel, so we are left with milliliters as the units.

`30*(50 \ mL)/(20)= V_2`

`(1500 \ mL)/(20)= V_2`

`75 \ mL=V_2`

The new volume of the gas is 75 milliliters.