Suppose Experiment 3 had been repeated, except that each pendulum had a string'lengtli of 200 cni. Based on the i-esiilis of Fxperiiiients 2 and 3, the graph of pre- dicted T versus M tor thc pcndulums would most likcly havc bccn a.. straight horizontal line crossing both vertical axes at approximately 2.01 sec. strai¥ht hori£oiilitl line crossiiig both veI'tical axes at api)roximately 2.81 .qec. curve cro.88ing the lett vertical axis at approxi- matcly 2.01 scc. incrcasing as JV increases. curve crossing the left vertical axis at approxi- mately 2.85 sec, increasing as M incredses. ACT-72E 45 GO ON TO THE NEXT PAGE. 40000000004 Passage V Student I No 'gas exited the apparatus because it 141as airtight. Gases, however, have no rnass, $0 as CO Mias produced, the mass of the apparatus decrcased. When vinegar (a solution of acctic acid, CH COOH, in H20) is mixed with baking soda (sodium bicarbonate, NaHCO ), the following reaction occurs: CH COOH +NaHCO3 -> CH COONa + H O + CO Siudent 2 Gases have mass, so the mass of the apparatus should not have changed. A balloon, however, will deflate over tim¢ bccausc thcre arc tiny porcs in its surface. Due to the rapid pressure increase in the apparatus, a mcasurable mass of CO2 exited through the pores in the quickly expanding balloon, which caused ihe rnass of the apparatus to decrease. A teacher constructed the apparatus shown in Figure I for a demonstration. First, 30 ML of vinegar was poured into a botile. Then, 5 g of baking soda was placed in a bal- loon. Tlie balloon was affixed to the top of the botiIe with wire to form an airtiglit seal. Student 3 Gases have mass. and although there clre tiny pores in a balloon's surface, there was not enough time for a mea- surable mass of gases to have exited the balloon. The air exerted ali upward ljucjya.ni fcJrc.'e on the ap[)ai-alLlS tli<lt was equal to thc wcight ot" thc volurne of air that was displaced by the apparatus. As the balloon inflatcd, thc volumc of the apparatus increased, causing it to displace a greater volume of dir. Thus, Ihe buoy<int force increased, which caused the niass I'eadiiig on the ba11( lice lo (leci-ease. Tlie aLLLldl iiiass ot thc apparatus did not measurably change. balloon baking soda vinegar Figure I The ai)paratus was placed on a balaiice, and the mass reading was 68.7 g. The balloon was then lifted up so that all thc baking soda fell into the bottle. As bubbles formed in the bottle, the balloon inflated and the mass reading on the balance steadily decreased. When the reaciion was fin- ished, the milSS' readin¥ was 68.1 g (see Figure 2).
