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

Answer:

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

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:

$\frac{V_1}{T_1}=\frac{V_2}{T_2}$

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

$\frac{50 \ mL}{20 \textdegree C}=\frac{ V_2}{T_2}$

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

$\frac{50 \ mL}{20 \textdegree C}=\frac{ V_2}{30 \textdegree C}$

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.

$30 \textdegree C*\frac{50 \ mL}{20 \textdegree C}=\frac{ V_2}{30 \textdegree C}* 30 \textdegree C$

$30 \textdegree C*\frac{50 \ mL}{20 \textdegree C}= V_2$

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

$30*\frac{50 \ mL}{20}= V_2$

$\frac{1500 \ mL}{20}= V_2$

$75 \ mL=V_2$

The new volume of the gas is 75 milliliters.