can someone please help me with the following example problemsso i can figure th

Question

can someone please help me with the following example problemsso i can figure this out?
1)A sample of gas occupies 7.27 L. If the pressure isincreased 10 times and the absolute temperature is increased 9times, what will be the new volume?
2)A sample of nitrogen has a volume of 3.05 L at 1,628 mmHgand -46 °C. What volume will it occupy at standard temperatureand pressure?
can someone please help me with the following example problemsso i can figure this out?
1)A sample of gas occupies 7.27 L. If the pressure isincreased 10 times and the absolute temperature is increased 9times, what will be the new volume?
2)A sample of nitrogen has a volume of 3.05 L at 1,628 mmHgand -46 °C. What volume will it occupy at standard temperatureand pressure?

Explanation / Answer

1) Formula :      P1V1/T1   = P2V2/T2    according to given data,   P2 =10P1    and   T2 = 9T1                                 V2 = (P1V1/ T1)/ (T2/P2)                                        = (P1*7.27L/ T1)/(9T1 / 10P1)                                        = 0.0807L 2) Formula : PV =nRT                Given data : P = 1,628mmHg (1atm/760mmHg)                             = 2.14atm                                     T = -46 + 273 = 227K                                                    V = 3.05L                     n = (2.14atm*3.05L)/(227K*0.0821Latm.mol-1K-1)                           = 6.527 atm L /18.6367 Latmmol-1                           = 0.3502 mol At standard temperature and pressure one mole gasoccupies 22.4L hence 0.3502 mol gas occupies                                         (22.4L/1mol)*0.3502mol = 7.85L At standard temperature and pressure one mole gasoccupies 22.4L hence 0.3502 mol gas occupies                                         (22.4L/1mol)*0.3502mol = 7.85L                                        =

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