This question refers to the combined gas law: (P1V1)/T1=(P2V2)/T2, where P is pressure, V is volume, and T is temperature in Kelvins.
To solve for T1, rearrange the equation to isolate T1.
T1=(P1V1T2)/(P2V2)
Avogardo's Law
Formula for the nth term of general geometric sequence tn = t1 x r(n - 1) For n = 2, we have: t2 = t1 x r(2 - 1) t2 = t1r substitute 11.304 for t2, and 2.512 for t1 into the formula; 11.304 = 2.512r r = 4.5 Check:
The given sequence is an arithmetic sequence with a common difference of -4. To find the nth term formula, we first determine the first term, which is 100. The nth term formula for an arithmetic sequence is given by: a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference. Therefore, the nth term formula for this sequence is a_n = 100 - 4(n-1) or a_n = 104 - 4n.
Flipping a coin: two possible outcomes, H or T. Rolling a die: six possible outcomes, 1, 2, 3, 4, 5, or 6. Flipping a coin and rolling a die: 12 possible outcomes. So the sample space has 12 outcomes such as, {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6 }
To find the sum of 25 terms of these arithmetic sequence you can use the formula:Sn = (n/2)(a1 + an), where n is the number of terms in the sequence, a1 is the first term, and an is the last term of the sequence. In our case n = 25, so we need to compute a1 and a25.Since an = 5t - 3, thena1 = 5(1) - 3 = 5 - 3 = 2a25 = 5(25) - 3 = 125 - 3 = 122By substituting the values we know into the formula we have:S25 = (25/2)(2 + 122) = (25/2)(124) = 25 x 62 = 1,550Or you can use the formula:Sn = (n/2)[2a1 + (n - 1)d] where d is the common difference.In order to find d, we need to find at least the value of 2 terms and subtract them.a1 = 2a2 = 5(2) - 3 = 10 - 3 = 7So d = 7 - 2 = 5By substituting the values we know into the formula we have:S25 = (25/2)[2(2) + (25 - 1)5]S25 = (25/2)(4+ 120) = (25/2)(124 = 25 x 62 = 1,550Thus, the sum of 25 terms of the given arithmetic sequence is 1,550.
Avogardo's Law
The general representation of the combined gas law is P1V1/T1 = P2V2/T2
The Combined Gas Law relates pressure (P), volume (V) and temperature (T). The appropriate SI units are P in atm, V in liters, and T in degrees Kelvin. The Combined Gas Law equation is (P1*V1)/T1 = (P2V2)/T2. Isolating for V2 the equation then becomes (P1V1T2)/(T1P2) = V2
Because it is so high up the air. Pressure up there is high and temperature therefore low if you use P1V1/T1= P2V2/T2
To solve Gay-Lussac's Law, use the formula P1/T1 P2/T2, where P1 and T1 are the initial pressure and temperature, and P2 and T2 are the final pressure and temperature. Rearrange the formula to solve for the unknown variable.
Using the combined gas law (P1V1/T1 = P2V2/T2), we can calculate the new volume of the oxygen gas sample at 600K. Given P1V1/T1 = P2V2/T2, we have P1 = P2 (pressure is constant), V1 = 150 mL, T1 = 300K, and T2 = 600K. Plugging in these values, we get V2 = (P1 * V1 * T2) / (T1) = (1 * 150 * 600) / (300) = 300 mL. So, the new volume of the oxygen gas sample at 600K would be 300 milliliters.
From Boyle ideal gas law P1V1/T1 = P2V2/T2 so volume is reduced by a factor of 4
To find the original volume of gas, you can use the combined gas law equation: (P1V1)/T1 = (P2V2)/T2. Plug in the given values to solve for the original volume, where P1 = 135 kPa, V1 = 575 L, T1 = 295 K, P2 = 105 kPa, and T2 = 270 K. Solving for V1 will give you the original volume of the gas.
Using the combined gas law, we can find the pressure by setting up the equation: P1V1/T1 = P2V2/T2. At STP, T1 = T2, so the equation simplifies to P1V1 = P2V2. Plugging in the values, we get P1 = (2.875 L * 1 atm) / 6.25 L = 1.38 atm.
The distance traveled divided by the time it took. If you want the average speed between times t0 and t1 you could integrate the fuction of speed from t0 to t1 and divide by t1-t0.
P1V1/T1 = P2V2/T2Assuming only temperature and volume are changing and pressure will be kept constant:V1/T1 = V2/T2Only Kelvin can be usedV1/273 = V2/523Assume the volume at 0 ºC is 1 unit thenV2 = 1.92 units
If it is an Ideal Gas, then you can use: P1V1/T1 = P2V2/T2, and since volume is constant, you have P1/T1 = P2/T2, where P is pressure and T is absolute temperature, and the subscripts refer to the 1st state and the 2nd state of the gas.So: (7.00 atm)/(379 K) = P2/(425 K), solve for P2 =(425 K)(7.00 atm)/(379 K)= 7.85 atm