solarcaine aerosol spray is used for temporarily relieving pain as it works as a topical anesthetic numbing the skin. Solarcaine is in fact benzocaine, C9H11NO2 with molar mass 165.2g/mol. If a 100 ml spray contains 1.00g of benzocaine, calculate the pressure within the can and explain why it is likely to explode when heated in a fire where the tempreature maybe as high as 1300 degress celcuis.
Given volume of benzocaine , V = 100 mL = 0.1 L
mass of benzocaine , m = 1.00 g
molarmass of benzocaine , M = 165.2 g/mol
number of moles of benzocaine , n = mass/molarmass
= 1.0 / 165.2 g/mol
= 6.05x10-3 g/mol
Temperature , T = 1300 oC = 1300 +273 K
= 1573 K
We know that PV = nRT R - gas constant = 0.0821 Latm/mol-K
So P = nRT / V
= (6.05x10-3 x 0.0821 x 1573 ) / 0.1
= 7.81 atm
So the pressure within the can is 7.81 atm
At high temperature the vibrational energy of the molecules will be more thereby it cannot inbuilt in the can & the molecules came out resulting explosion.
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