2. If a gas at 500 mL has a temperature of 45°C, then what is the new volume when the temperature is increased to 65°C? Show your work.

Question

2. If a gas at 500 mL has a temperature of 45°C, then what is the new volume when the temperature is increased to 65°C? Show your work.

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Huyền Thanh 3 years 2021-08-14T17:55:08+00:00 1 Answers 5 views 0

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  1. RobertKer
    0
    2021-08-14T17:56:46+00:00
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    Answer:

    531.45 mL

    Explanation:

    From the question given above, the following data were obtained:

    Initial volume (V₁) = 500 mL

    Initial temperature (T₁) = 45 °C

    Final temperature (T₂) = 65 °C

    Final volume (V₂) =?

    Next, we shall convert celsius temperature to Kelvin temperature. This can be obtained as follow:

    T(K) = T(°C) + 273

    Initial temperature (T₁) = 45 °C

    Initial temperature (T₁) = 45 °C + 273

    Initial temperature (T₁) = 318 K

    Final temperature (T₂) = 65 °C

    Final temperature (T₂) = 65 °C + 273

    Final temperature (T₂) = 338 K

    Finally, we shall determine the final volume of the gas. This can be obtained as follow:

    Initial volume (V₁) = 500 mL

    Initial temperature (T₁) = 318 K

    Final temperature (T₂) = 338 K

    Final volume (V₂) =?

    V₁/T₁ = V₂/T₂

    500 / 318 = V₂ / 338

    Cross multiply

    318 × V₂ = 500 × 338

    318 × V₂ = 169000

    Divide both side by 318

    V₂ = 169000 / 318

    V₂ = 531.45 mL

    Therefore, the new volume of the gas is 531.45 mL

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