A child has a toy balloon with a volume of 6.5 liters. The temperature of the balloon when it was filled was 2850 K and the pressure was 5.0 Pa. If the child were to let go of the balloon and it rose into the sky where the pressure is 3.5 Pa and the temperature is 2250 K, what would the new volume of the balloon be?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)