At standard temperature a gas has a volume of 275ml if the temperature is increased to 130C buit the pressure is held constant what is the new volume?
To find the new volume of the gas, we can use Charles' Law, which states that the volume of a gas is directly proportional to its temperature, assuming the pressure and amount of gas are constant.
Charles' Law equation:
V1/T1 = V2/T2
Where:
V1 = Initial volume of the gas (in mL)
T1 = Initial temperature of the gas (in Kelvin)
V2 = Final volume of the gas (what we need to find)
T2 = Final temperature of the gas (in Kelvin)
Given:
V1 = 275 mL
T1 = standard temperature (which we need to convert to Kelvin)
T2 = 130ºC
To convert the standard temperature to Kelvin, we add 273.15 to the value:
T1 = 0ºC + 273.15 = 273.15 K
Using the formula, we can rearrange it to solve for V2:
V2 = V1 * T2 / T1
Substituting the given values:
V2 = 275 mL * 403.15 K / 273.15 K
Now let's calculate:
V2 = 275 mL * 403.15/273.15 = 410.14 mL (rounded to two decimal places)
Therefore, the new volume of the gas is approximately 410.14 mL when the temperature increases to 130ºC, with constant pressure.
To find the new volume of the gas when the temperature is increased to 130°C while keeping the pressure constant, we can use Charles's Law. According to Charles's Law, the volume of a gas is directly proportional to its temperature when pressure remains constant.
Let's first convert the given temperature from Celsius to Kelvin. Kelvin is the absolute temperature scale, so we add 273.15 to the Celsius temperature:
T1 = 130°C + 273.15 = 403.15 K
Next, we need to set up the equation using Charles's Law:
V1/T1 = V2/T2
Where:
V1 = initial volume
T1 = initial temperature
V2 = new volume (what we want to find)
T2 = new temperature
Given:
V1 = 275 ml
T1 = 403.15 K
T2 = 130°C + 273.15 = 403.15 K (since pressure is constant, we use the same temperature)
Now we can plug in the values into the equation and solve for V2:
275 ml / 403.15 K = V2 / 403.15 K
Simplifying the equation:
275 / 403.15 = V2 / 403.15
V2 = (275 / 403.15) * 403.15
V2 ≈ 275 ml
Therefore, the new volume of the gas when the temperature is increased to 130°C while the pressure is held constant remains approximately 275 ml.