Final answer:
To find the new volume of a gas when the temperature is raised from 25.0°C to 50.0°C, convert the temperatures to Kelvins and apply Charles's Law. Use the formula V1/T1 = V2/T2 and solve for the new volume.
Step-by-step explanation:
The question deals with the properties of gases and how they change with temperature. According to Charles's Law, the volume of a gas is directly proportional to its absolute temperature (in Kelvins) when the pressure and amount of gas are held constant. To find the new volume of a gas when it is heated from 25.0°C to 50.0°C, we first convert these temperatures to Kelvins by adding 273.15, getting 298.15 K and 323.15 K, respectively. Then, using the formula V1/T1 = V2/T2 (where V is volume and T is temperature), we can solve for the new volume (V2).
Here, V1 is 30.0 mL, T1 is 298.15 K, and T2 is 323.15 K. Plugging these values into the formula:
- V1 = 30.0 mL (initial volume)
- T1 = 298.15 K (initial temperature)
- T2 = 323.15 K (final temperature)
To find V2:
V2 = (V1 × T2) / T1 = (30.0 mL × 323.15 K) / 298.15 K
After performing the calculation, you'll get the new volume, V2.