Question

При 17 С некоторое количество газа занимает объем 580мл.Какой объем займет это же количество газа при 100 С,если давление его останется неизменным?

Answer 1

PV=nRT
p/n=RT/V=const
T/V=const
T1/V1=T2/V2
V2=T2*V1/T1=373*580/290=746 мл

Answer 2

Calculation of Gas Volume at Different Temperatures

To calculate the volume of gas at different temperatures, we can use the ideal gas law equation, which states that the product of pressure (P), volume (V), and temperature (T) is constant:

PV = nRT

Where: - P is the pressure of the gas - V is the volume of the gas - n is the number of moles of the gas - R is the ideal gas constant - T is the temperature in Kelvin

In this case, we are given the initial volume of the gas at 17°C and want to find the volume at 100°C, assuming the pressure remains constant.

Converting Temperatures to Kelvin

To use the ideal gas law equation, we need to convert the temperatures from Celsius to Kelvin. The Kelvin scale is an absolute temperature scale where 0 K represents absolute zero, the point at which all molecular motion ceases. The conversion from Celsius to Kelvin is done by adding 273.15 to the Celsius temperature.

So, let's convert the given temperatures: - 17°C + 273.15 = 290.15 K - 100°C + 273.15 = 373.15 K

Applying the Ideal Gas Law

Since the pressure remains constant, we can rewrite the ideal gas law equation as:

V1/T1 = V2/T2

Where: - V1 is the initial volume of the gas at temperature T1 - T1 is the initial temperature in Kelvin - V2 is the final volume of the gas at temperature T2 - T2 is the final temperature in Kelvin

Now, let's substitute the given values into the equation:

V1/T1 = V2/T2

580 mL / 290.15 K = V2 / 373.15 K

Solving for V2, we get:

V2 = (580 mL / 290.15 K) * 373.15 K

Calculating this expression will give us the final volume of the gas at 100°C, assuming the pressure remains constant.

Calculation

Let's calculate the final volume of the gas at 100°C:

V2 = (580 mL / 290.15 K) * 373.15 K

V2 ≈ 747.91 mL

Therefore, the volume of the gas at 100°C, assuming the pressure remains constant, will be approximately 747.91 mL.

Please note that this calculation assumes the gas behaves ideally and that there are no other factors affecting its behavior.