At 82K, a gas has a volume of 4.60L. What would be the volume of the gas at 70K?

V₂ = 4.0L

Explanation:

Decreasing temperature => Decreasing Volume (Charles Law)

For a given volume, use a temperature ratio that will give a smaller volume.

Volume at lower temp = 4.6L(70K/82K) = 4.0L ... Using (82K/70K) would give a larger volume => contrary to temperature effects on gas volumes when pressure and mass are kept constant.

Pressure effects on Gas Volumes:

Note: The same idea is applied to pressure effects on gas volumes also except that changes in pressure affect gas volumes indirectly. That is, an increase in pressure => decrease in volume, or a decrease in pressure => increase in volume. Boyles Law => V ∝ 1/P.

Given a gas volume of 4.60L at 760mmHg, what is volume at 848mmHg?

Increasing pressure => Decreases Volume (Boyles Law)

For the given volume use a pressure ratio that will give a smaller volume.

Volume at higher pressure = 4.6L(760mm/848mm) =4.1L. Using (848mm/760mm) would give a larger volume => contrary to pressure effects on gas volume when temperature and mass of gas are kept constant.

percent abundance for cu-63 can be shown as:

63 x + 65 (1-x) = 62.9296

65 - 62.9296 = 2 x

x = 1.035

thus, percent abundance for cu-63 is 1.035

percent abundance for cu-65 can be shown as:

63 x + 65 (1-x) = 64.9278

65 - 64.9278 = 2 x

x = 0.0361

thus, percent abundance for cu-63 is 0.0361

the mass spectrum of cu-63 showing the intense peak as, this isotope is found in nature more abundantly around 92.38 % in comparison to cu-65 which is found 62.58 % naturally