The gases in a hair spray can are at a temperature of 26.0 °C and a pressure of 25.0 lbs/in2. If the gases in the can reach a pressure of

Question

The gases in a hair spray can are at a temperature of 26.0 °C and a pressure of 25.0 lbs/in2. If the gases in the can reach a pressure of
90.0 Ibs/in?, the can will explode. To what temperature in Celsius must the gases be raised in order for the can to explode?

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Dulcie 5 years 2021-07-30T03:44:22+00:00 1 Answers 18 views 0

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  1. King
    0
    2021-07-30T03:45:40+00:00
    Reply

    Answer:

    The gases in a hair spray can are at a temperature of 26.0 °C and a pressure of 25.0 lbs/in2.

    If the pressure becomes 90.0lbs/in^{2}, what is the temperature of the gases?

    Explanation:

    According to Gay lussac’s law:

    the pressure of a gas is directly proportional to its absolute temperature.

    P\alpha T

    \frac{P{1} }{T{1} }=\frac{P{2} }{T{2} }

    Given,

    P1=25.0lbs/in^{2} \\P2=90.0lbs/in^{2} \\T1=26^{o} C=(26+273)K=299K\\T2=?

    Substitute these values in the above formula:

    \frac{P{1} }{T{1} }=\frac{P{2} }{T{2} }\\\\\frac{25lbs/in^{2} }{299K} }=\frac{90.0lbs/in^{2} }{T{2} }\\\\\\On simplification \\T2=1076.4K\\T2=(1076.4-273)^{o} C=803.4^{o} C

    Answer:

    The gases will be raised to a temperature of 803.4^{o} C.

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