The volume of a sample of a fixed amount of gas is decreased from 2.0 L to 1.0 L. The temperat

step 1 Let's say this is a two -step reaction. So according to ideal gas law, PV equals to N -R -T, the

The volume of a sample of a fixed amount of gas is decreased...

The volume of a sample of a fixed amount of gas is decreased from $2.0 \mathrm{~L}$ to $1.0 \mathrm{~L}$. The temperature of the gas in kelvins is then doubled. What is the final pressure of the gas in terms of the initial pressure?

Key Concepts

Ideal Gas Law

The Ideal Gas Law (PV = nRT) defines the state of an ideal gas by relating its pressure, volume, temperature, and the number of moles. This law provides the foundation for understanding how changes in one variable affect the others when the quantity of gas is fixed.

Combined Gas Law

The Combined Gas Law derives from the Ideal Gas Law and is used when the amount of gas remains constant. It relates the initial and final states of a gas (P?V?/T? = P?V?/T?) and illustrates how pressure, volume, and temperature change in relation to one another under different conditions.

Direct and Inverse Proportionality

This concept examines the relationship between variables where one quantity increases as another increases (direct proportionality) and decreases as another increases (inverse proportionality). In the context of gas laws, pressure is directly proportional to temperature and inversely proportional to volume, meaning that doubling the temperature (with volume change) increases the pressure, while decreasing the volume increases the pressure as well.

Temperature Scale (Kelvin)

The Kelvin scale is an absolute temperature scale used in scientific calculations involving gas laws. It starts at absolute zero (0 K), and using this scale ensures that calculations like those in the Ideal Gas Law remain valid and that proportional relationships between temperature and pressure are accurately maintained.

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